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      <title>Class NumericalSolver | HiAPI-C# 2025 </title>
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        <article data-uid="Hi.Geom.Solvers.NumericalSolver">



  <h1 id="Hi_Geom_Solvers_NumericalSolver" data-uid="Hi.Geom.Solvers.NumericalSolver" class="text-break">
Class NumericalSolver  
  </h1>

  <div class="facts text-secondary">
    <dl><dt>Namespace</dt><dd><a class="xref" href="Hi.html">Hi</a>.<a class="xref" href="Hi.Geom.html">Geom</a>.<a class="xref" href="Hi.Geom.Solvers.html">Solvers</a></dd></dl>
  <dl><dt>Assembly</dt><dd>HiGeom.dll</dd></dl>
  </div>

  <div class="markdown summary"><p>A numerical solver for systems of equations using the Jacobian matrix.</p>
</div>
  <div class="markdown conceptual"></div>

  <div class="codewrapper">
    <pre><code class="lang-csharp hljs">public class NumericalSolver</code></pre>
  </div>




  <dl class="typelist inheritance">
    <dt>Inheritance</dt>
    <dd>
      <div><a class="xref" href="https://learn.microsoft.com/dotnet/api/system.object">object</a></div>
      <div><span class="xref">NumericalSolver</span></div>
    </dd>
  </dl>



  <dl class="typelist inheritedMembers">
    <dt>Inherited Members</dt>
    <dd>
    <div>
      <a class="xref" href="https://learn.microsoft.com/dotnet/api/system.object.equals#system-object-equals(system-object)">object.Equals(object)</a>
    </div>
    <div>
      <a class="xref" href="https://learn.microsoft.com/dotnet/api/system.object.equals#system-object-equals(system-object-system-object)">object.Equals(object, object)</a>
    </div>
    <div>
      <a class="xref" href="https://learn.microsoft.com/dotnet/api/system.object.gethashcode">object.GetHashCode()</a>
    </div>
    <div>
      <a class="xref" href="https://learn.microsoft.com/dotnet/api/system.object.gettype">object.GetType()</a>
    </div>
    <div>
      <a class="xref" href="https://learn.microsoft.com/dotnet/api/system.object.memberwiseclone">object.MemberwiseClone()</a>
    </div>
    <div>
      <a class="xref" href="https://learn.microsoft.com/dotnet/api/system.object.referenceequals">object.ReferenceEquals(object, object)</a>
    </div>
    <div>
      <a class="xref" href="https://learn.microsoft.com/dotnet/api/system.object.tostring">object.ToString()</a>
    </div>
  </dd></dl>

  <dl class="typelist extensionMethods">
    <dt>Extension Methods</dt>
    <dd>
  <div>
      <a class="xref" href="Hi.Common.DuplicateUtil.html#Hi_Common_DuplicateUtil_TryDuplicate__1___0_System_Object___">DuplicateUtil.TryDuplicate&lt;TSelf&gt;(TSelf, params object[])</a>
  </div>
  <div>
      <a class="xref" href="Hi.Common.InvokeUtil.html#Hi_Common_InvokeUtil_SelfInvoke__1___0_System_Action___0__">InvokeUtil.SelfInvoke&lt;TSrc&gt;(TSrc, Action&lt;TSrc&gt;)</a>
  </div>
  <div>
      <a class="xref" href="Hi.Common.InvokeUtil.html#Hi_Common_InvokeUtil_SelfInvoke__2___0_System_Func___0___1__">InvokeUtil.SelfInvoke&lt;TSrc, TDst&gt;(TSrc, Func&lt;TSrc, TDst&gt;)</a>
  </div>
  <div>
      <a class="xref" href="Hi.Coloring.ColorUtil.html#Hi_Coloring_ColorUtil_GetGloomyColor_System_Object_System_Double_System_Double_">ColorUtil.GetGloomyColor(object, double, double)</a>
  </div>
  <div>
      <a class="xref" href="Hi.Common.NameUtil.html#Hi_Common_NameUtil_GetSelectionName_System_Object_">NameUtil.GetSelectionName(object)</a>
  </div>
  <div>
      <a class="xref" href="Hi.Common.StringUtil.html#Hi_Common_StringUtil_GetPropertyStringIfToStringNotOverloaded_System_Object_System_Boolean_System_Boolean_">StringUtil.GetPropertyStringIfToStringNotOverloaded(object, bool, bool)</a>
  </div>
  <div>
      <a class="xref" href="Hi.Parallels.LockUtil.html#Hi_Parallels_LockUtil_Lock_System_Object_">LockUtil.Lock(object)</a>
  </div>
  </dd></dl>





  <h2 class="section" id="constructors">Constructors
</h2>


  <a id="Hi_Geom_Solvers_NumericalSolver__ctor_" data-uid="Hi.Geom.Solvers.NumericalSolver.#ctor*"></a>

  <h3 id="Hi_Geom_Solvers_NumericalSolver__ctor_Hi_Geom_Solvers_NumericalSolver_SetParasDelegate_System_Int32_Hi_Geom_Solvers_NumericalSolver_GetRepondsDelegate_System_Int32_System_Double_System_Double_System_Int32_" data-uid="Hi.Geom.Solvers.NumericalSolver.#ctor(Hi.Geom.Solvers.NumericalSolver.SetParasDelegate,System.Int32,Hi.Geom.Solvers.NumericalSolver.GetRepondsDelegate,System.Int32,System.Double,System.Double,System.Int32)">
  NumericalSolver(SetParasDelegate, int, GetRepondsDelegate, int, double, double, int)
  
  </h3>

  <div class="markdown level1 summary"><p>Initializes a new instance of the <a class="xref" href="Hi.Geom.Solvers.NumericalSolver.html">NumericalSolver</a> class.</p>
</div>
  <div class="markdown level1 conceptual"></div>

  <div class="codewrapper">
    <pre><code class="lang-csharp hljs">public NumericalSolver(NumericalSolver.SetParasDelegate setParasFunc, int paraNum, NumericalSolver.GetRepondsDelegate getResponsesFunc, int targetNum, double partialInterval, double tolerance, int iterationLimit = 12)</code></pre>
  </div>

  <h4 class="section">Parameters</h4>
  <dl class="parameters">
    <dt><code>setParasFunc</code> <a class="xref" href="Hi.Geom.Solvers.NumericalSolver.html">NumericalSolver</a>.<a class="xref" href="Hi.Geom.Solvers.NumericalSolver.SetParasDelegate.html">SetParasDelegate</a></dt>
    <dd><p>Function to set parameter values</p>
</dd>
    <dt><code>paraNum</code> <a class="xref" href="https://learn.microsoft.com/dotnet/api/system.int32">int</a></dt>
    <dd><p>Number of parameters in the system</p>
</dd>
    <dt><code>getResponsesFunc</code> <a class="xref" href="Hi.Geom.Solvers.NumericalSolver.html">NumericalSolver</a>.<a class="xref" href="Hi.Geom.Solvers.NumericalSolver.GetRepondsDelegate.html">GetRepondsDelegate</a></dt>
    <dd><p>Function to get response values</p>
</dd>
    <dt><code>targetNum</code> <a class="xref" href="https://learn.microsoft.com/dotnet/api/system.int32">int</a></dt>
    <dd><p>Number of target values (equations) in the system</p>
</dd>
    <dt><code>partialInterval</code> <a class="xref" href="https://learn.microsoft.com/dotnet/api/system.double">double</a></dt>
    <dd><p>Interval for calculating partial derivatives</p>
</dd>
    <dt><code>tolerance</code> <a class="xref" href="https://learn.microsoft.com/dotnet/api/system.double">double</a></dt>
    <dd><p>Tolerance for convergence</p>
</dd>
    <dt><code>iterationLimit</code> <a class="xref" href="https://learn.microsoft.com/dotnet/api/system.int32">int</a></dt>
    <dd><p>Maximum number of iterations allowed</p>
</dd>
  </dl>












  <h2 class="section" id="properties">Properties
</h2>


  <a id="Hi_Geom_Solvers_NumericalSolver_GetResponsesFunc_" data-uid="Hi.Geom.Solvers.NumericalSolver.GetResponsesFunc*"></a>

  <h3 id="Hi_Geom_Solvers_NumericalSolver_GetResponsesFunc" data-uid="Hi.Geom.Solvers.NumericalSolver.GetResponsesFunc">
  GetResponsesFunc
  
  </h3>

  <div class="markdown level1 summary"><p>Gets the function used to get response values.</p>
</div>
  <div class="markdown level1 conceptual"></div>

  <div class="codewrapper">
    <pre><code class="lang-csharp hljs">public NumericalSolver.GetRepondsDelegate GetResponsesFunc { get; }</code></pre>
  </div>





  <h4 class="section">Property Value</h4>
  <dl class="parameters">
    <dt><a class="xref" href="Hi.Geom.Solvers.NumericalSolver.html">NumericalSolver</a>.<a class="xref" href="Hi.Geom.Solvers.NumericalSolver.GetRepondsDelegate.html">GetRepondsDelegate</a></dt>
    <dd></dd>
  </dl>








  <a id="Hi_Geom_Solvers_NumericalSolver_HalfPartialInterval_" data-uid="Hi.Geom.Solvers.NumericalSolver.HalfPartialInterval*"></a>

  <h3 id="Hi_Geom_Solvers_NumericalSolver_HalfPartialInterval" data-uid="Hi.Geom.Solvers.NumericalSolver.HalfPartialInterval">
  HalfPartialInterval
  
  </h3>

  <div class="markdown level1 summary"><p>Gets half of the partial interval value for optimization.</p>
</div>
  <div class="markdown level1 conceptual"></div>

  <div class="codewrapper">
    <pre><code class="lang-csharp hljs">public double HalfPartialInterval { get; }</code></pre>
  </div>





  <h4 class="section">Property Value</h4>
  <dl class="parameters">
    <dt><a class="xref" href="https://learn.microsoft.com/dotnet/api/system.double">double</a></dt>
    <dd></dd>
  </dl>








  <a id="Hi_Geom_Solvers_NumericalSolver_IterationLimit_" data-uid="Hi.Geom.Solvers.NumericalSolver.IterationLimit*"></a>

  <h3 id="Hi_Geom_Solvers_NumericalSolver_IterationLimit" data-uid="Hi.Geom.Solvers.NumericalSolver.IterationLimit">
  IterationLimit
  
  </h3>

  <div class="markdown level1 summary"><p>Gets or sets the maximum number of iterations allowed.</p>
</div>
  <div class="markdown level1 conceptual"></div>

  <div class="codewrapper">
    <pre><code class="lang-csharp hljs">public int IterationLimit { get; set; }</code></pre>
  </div>





  <h4 class="section">Property Value</h4>
  <dl class="parameters">
    <dt><a class="xref" href="https://learn.microsoft.com/dotnet/api/system.int32">int</a></dt>
    <dd></dd>
  </dl>








  <a id="Hi_Geom_Solvers_NumericalSolver_ParaNum_" data-uid="Hi.Geom.Solvers.NumericalSolver.ParaNum*"></a>

  <h3 id="Hi_Geom_Solvers_NumericalSolver_ParaNum" data-uid="Hi.Geom.Solvers.NumericalSolver.ParaNum">
  ParaNum
  
  </h3>

  <div class="markdown level1 summary"><p>Gets or sets the number of parameters in the system.</p>
</div>
  <div class="markdown level1 conceptual"></div>

  <div class="codewrapper">
    <pre><code class="lang-csharp hljs">public int ParaNum { get; set; }</code></pre>
  </div>





  <h4 class="section">Property Value</h4>
  <dl class="parameters">
    <dt><a class="xref" href="https://learn.microsoft.com/dotnet/api/system.int32">int</a></dt>
    <dd></dd>
  </dl>








  <a id="Hi_Geom_Solvers_NumericalSolver_Paras_" data-uid="Hi.Geom.Solvers.NumericalSolver.Paras*"></a>

  <h3 id="Hi_Geom_Solvers_NumericalSolver_Paras" data-uid="Hi.Geom.Solvers.NumericalSolver.Paras">
  Paras
  
  </h3>

  <div class="markdown level1 summary"><p>Sets the parameter values in the system being solved.</p>
</div>
  <div class="markdown level1 conceptual"></div>

  <div class="codewrapper">
    <pre><code class="lang-csharp hljs">public double[] Paras { set; }</code></pre>
  </div>





  <h4 class="section">Property Value</h4>
  <dl class="parameters">
    <dt><a class="xref" href="https://learn.microsoft.com/dotnet/api/system.double">double</a>[]</dt>
    <dd></dd>
  </dl>








  <a id="Hi_Geom_Solvers_NumericalSolver_PartialInterval_" data-uid="Hi.Geom.Solvers.NumericalSolver.PartialInterval*"></a>

  <h3 id="Hi_Geom_Solvers_NumericalSolver_PartialInterval" data-uid="Hi.Geom.Solvers.NumericalSolver.PartialInterval">
  PartialInterval
  
  </h3>

  <div class="markdown level1 summary"><p>Gets or sets the interval used for calculating partial derivatives.</p>
</div>
  <div class="markdown level1 conceptual"></div>

  <div class="codewrapper">
    <pre><code class="lang-csharp hljs">public double PartialInterval { get; set; }</code></pre>
  </div>





  <h4 class="section">Property Value</h4>
  <dl class="parameters">
    <dt><a class="xref" href="https://learn.microsoft.com/dotnet/api/system.double">double</a></dt>
    <dd></dd>
  </dl>








  <a id="Hi_Geom_Solvers_NumericalSolver_Responses_" data-uid="Hi.Geom.Solvers.NumericalSolver.Responses*"></a>

  <h3 id="Hi_Geom_Solvers_NumericalSolver_Responses" data-uid="Hi.Geom.Solvers.NumericalSolver.Responses">
  Responses
  
  </h3>

  <div class="markdown level1 summary"><p>Gets the response values from the system being solved.</p>
</div>
  <div class="markdown level1 conceptual"></div>

  <div class="codewrapper">
    <pre><code class="lang-csharp hljs">public double[] Responses { get; }</code></pre>
  </div>





  <h4 class="section">Property Value</h4>
  <dl class="parameters">
    <dt><a class="xref" href="https://learn.microsoft.com/dotnet/api/system.double">double</a>[]</dt>
    <dd></dd>
  </dl>








  <a id="Hi_Geom_Solvers_NumericalSolver_SetParasFunc_" data-uid="Hi.Geom.Solvers.NumericalSolver.SetParasFunc*"></a>

  <h3 id="Hi_Geom_Solvers_NumericalSolver_SetParasFunc" data-uid="Hi.Geom.Solvers.NumericalSolver.SetParasFunc">
  SetParasFunc
  
  </h3>

  <div class="markdown level1 summary"><p>Gets the function used to set parameter values.</p>
</div>
  <div class="markdown level1 conceptual"></div>

  <div class="codewrapper">
    <pre><code class="lang-csharp hljs">public NumericalSolver.SetParasDelegate SetParasFunc { get; }</code></pre>
  </div>





  <h4 class="section">Property Value</h4>
  <dl class="parameters">
    <dt><a class="xref" href="Hi.Geom.Solvers.NumericalSolver.html">NumericalSolver</a>.<a class="xref" href="Hi.Geom.Solvers.NumericalSolver.SetParasDelegate.html">SetParasDelegate</a></dt>
    <dd></dd>
  </dl>








  <a id="Hi_Geom_Solvers_NumericalSolver_TargetNum_" data-uid="Hi.Geom.Solvers.NumericalSolver.TargetNum*"></a>

  <h3 id="Hi_Geom_Solvers_NumericalSolver_TargetNum" data-uid="Hi.Geom.Solvers.NumericalSolver.TargetNum">
  TargetNum
  
  </h3>

  <div class="markdown level1 summary"><p>Gets or sets the number of target values (equations) in the system.</p>
</div>
  <div class="markdown level1 conceptual"></div>

  <div class="codewrapper">
    <pre><code class="lang-csharp hljs">public int TargetNum { get; set; }</code></pre>
  </div>





  <h4 class="section">Property Value</h4>
  <dl class="parameters">
    <dt><a class="xref" href="https://learn.microsoft.com/dotnet/api/system.int32">int</a></dt>
    <dd></dd>
  </dl>








  <a id="Hi_Geom_Solvers_NumericalSolver_Tolerance_" data-uid="Hi.Geom.Solvers.NumericalSolver.Tolerance*"></a>

  <h3 id="Hi_Geom_Solvers_NumericalSolver_Tolerance" data-uid="Hi.Geom.Solvers.NumericalSolver.Tolerance">
  Tolerance
  
  </h3>

  <div class="markdown level1 summary"><p>Gets or sets the tolerance for convergence.</p>
</div>
  <div class="markdown level1 conceptual"></div>

  <div class="codewrapper">
    <pre><code class="lang-csharp hljs">public double Tolerance { get; set; }</code></pre>
  </div>





  <h4 class="section">Property Value</h4>
  <dl class="parameters">
    <dt><a class="xref" href="https://learn.microsoft.com/dotnet/api/system.double">double</a></dt>
    <dd></dd>
  </dl>








  <h2 class="section" id="methods">Methods
</h2>


  <a id="Hi_Geom_Solvers_NumericalSolver_ErrorFunc_" data-uid="Hi.Geom.Solvers.NumericalSolver.ErrorFunc*"></a>

  <h3 id="Hi_Geom_Solvers_NumericalSolver_ErrorFunc_System_Double___System_Double___" data-uid="Hi.Geom.Solvers.NumericalSolver.ErrorFunc(System.Double[],System.Double[])">
  ErrorFunc(double[], double[])
  
  </h3>

  <div class="markdown level1 summary"><p>Calculates the error (difference) between the system responses and target values.</p>
</div>
  <div class="markdown level1 conceptual"></div>

  <div class="codewrapper">
    <pre><code class="lang-csharp hljs">public double[] ErrorFunc(double[] paras, double[] targets)</code></pre>
  </div>

  <h4 class="section">Parameters</h4>
  <dl class="parameters">
    <dt><code>paras</code> <a class="xref" href="https://learn.microsoft.com/dotnet/api/system.double">double</a>[]</dt>
    <dd><p>The parameter values to use</p>
</dd>
    <dt><code>targets</code> <a class="xref" href="https://learn.microsoft.com/dotnet/api/system.double">double</a>[]</dt>
    <dd><p>The target values to compare against</p>
</dd>
  </dl>

  <h4 class="section">Returns</h4>
  <dl class="parameters">
    <dt><a class="xref" href="https://learn.microsoft.com/dotnet/api/system.double">double</a>[]</dt>
    <dd><p>An array of error values</p>
</dd>
  </dl>











  <a id="Hi_Geom_Solvers_NumericalSolver_Solve_" data-uid="Hi.Geom.Solvers.NumericalSolver.Solve*"></a>

  <h3 id="Hi_Geom_Solvers_NumericalSolver_Solve_System_Double___System_Double___System_Double__System_Double_0__0____" data-uid="Hi.Geom.Solvers.NumericalSolver.Solve(System.Double[],System.Double[],System.Double@,System.Double[0:,0:]@)">
  Solve(double[], double[], out double, out double[,])
  
  </h3>

  <div class="markdown level1 summary"><p>Solves the system of equations using numerical methods.</p>
</div>
  <div class="markdown level1 conceptual"></div>

  <div class="codewrapper">
    <pre><code class="lang-csharp hljs">public SolvingStatus Solve(double[] paras, double[] targets, out double minBias, out double[,] jacob)</code></pre>
  </div>

  <h4 class="section">Parameters</h4>
  <dl class="parameters">
    <dt><code>paras</code> <a class="xref" href="https://learn.microsoft.com/dotnet/api/system.double">double</a>[]</dt>
    <dd><p>The initial parameter values, will be modified during solving</p>
</dd>
    <dt><code>targets</code> <a class="xref" href="https://learn.microsoft.com/dotnet/api/system.double">double</a>[]</dt>
    <dd><p>The target values to solve for</p>
</dd>
    <dt><code>minBias</code> <a class="xref" href="https://learn.microsoft.com/dotnet/api/system.double">double</a></dt>
    <dd><p>Output parameter that will contain the minimum bias (error) found</p>
</dd>
    <dt><code>jacob</code> <a class="xref" href="https://learn.microsoft.com/dotnet/api/system.double">double</a>[,]</dt>
    <dd><p>Output parameter that will contain the final Jacobian matrix</p>
</dd>
  </dl>

  <h4 class="section">Returns</h4>
  <dl class="parameters">
    <dt><a class="xref" href="Hi.Geom.Solvers.SolvingStatus.html">SolvingStatus</a></dt>
    <dd><p>The status of the solving process</p>
</dd>
  </dl>







  <h4 class="section" id="Hi_Geom_Solvers_NumericalSolver_Solve_System_Double___System_Double___System_Double__System_Double_0__0_____remarks">Remarks</h4>
  <div class="markdown level1 remarks"><p>Note that the <code class="paramref">paras</code> array will be modified during solving.</p>
</div>





</article>

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